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Support for the Patient Protection and Affordable Care Act is up slightly, a new poll finds, with just three weeks remaining before the deadline to sign up for insurance under the law.

A CNN/ORC International poll out Tuesday showed that 39 percent of Americans support PPACA, up from 35 percent in December.

Still, the majority — 57 percent — still say they oppose the law, down from 62 percent in December.

Though the stats for the health care overhaul still aren’t great, it’s better news for the administration. The 35 percent support found at the end of 2013 was a record low for the law.

The poll found that not all opposition for the law comes from Republicans. Though 39 percent said they oppose the law because it’s too liberal, 12 percent said they oppose it because it’s “not liberal enough.”

Interestingly, the law gained more support among Americans making better earnings, and made no leeway among those with lower incomes, a group the law was designed to help. Among people who make $50,000 or more, support rose from 36 percent to 46 percent. The 35 percent of Americans who supported make less than $50,000 remained unchanged from December to March.

The CNN poll was conducted by ORC International from Friday through Sunday, with 801 adults nationwide questioned by telephone. The overall sampling error is 3.5 percentage points.